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Tessellations in Geometry

Here you will find our selection of Geometrical Tessellation sheets.
These fun sheets will let you explore the world of tessellating shapes
and create your own geometric patterns to color in.

Using these sheets will help your child to:

understand what a tessellation is;

manipulate 2d shapes to try to find a way to fit them together;

create and explore patterns with 2d shapes.

All the Math sheets in this section follow the Elementary Math Benchmarks.

What is a Tessellation?

A tessellation is a repeated pattern or arrangement of 2d shapes
that can fill any 2d space with no gaps or overlapping edges.
Tessellations can be made from single shapes on their own or
using a range of shapes.

When we say that a particular 2d shape can tessellate,
we mean that it can fill any 2d space with no gaps or
overlapping edges on its own without needing to add
any other 2d shape to fill up the gaps.

Here is an example of a tessellating pattern made from equilateral triangles:

Here is an example of a shape which does not tessellate.
The pentagons are unable to fill up the space below on the page without leaving gaps.

The tessellation sheet below explains all about tessellation in a little more detail.

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